A 12-volt electric motor has 1,000 watts input and 1 horsepower output. Maintaining the same efficiency, how much input power will a 24-volt, 1-horsepower electric motor require?

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Enhance your understanding of the fundamentals of electricity with the AMT General Exam. Study with multiple-choice questions crafted to improve your knowledge and confidence. Prepare effectively for your success!

Multiple Choice

A 12-volt electric motor has 1,000 watts input and 1 horsepower output. Maintaining the same efficiency, how much input power will a 24-volt, 1-horsepower electric motor require?

Explanation:
Efficiency relates input and output power through η = P_out / P_in. The first motor outputs 1 horsepower (about 746 W) from 1,000 W of input, so η ≈ 0.746. To keep the same efficiency with a motor that also delivers 1 horsepower, the input must satisfy P_in = P_out / η = 746 W / 0.746 ≈ 1,000 W. So the second motor would still require about 1,000 W of input power. The 24 V rating just means the current would be roughly 1,000 W / 24 V ≈ 41.7 A.

Efficiency relates input and output power through η = P_out / P_in. The first motor outputs 1 horsepower (about 746 W) from 1,000 W of input, so η ≈ 0.746. To keep the same efficiency with a motor that also delivers 1 horsepower, the input must satisfy P_in = P_out / η = 746 W / 0.746 ≈ 1,000 W. So the second motor would still require about 1,000 W of input power. The 24 V rating just means the current would be roughly 1,000 W / 24 V ≈ 41.7 A.

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